Question

Select a suitable algebraic identity and find following products :
1) (ax²+by²) × ( ax²+by²)
2) (7d-9e) × (7d-9e)
3) (2b-a) × (2b+c)
I WILL MARK AS BRAINLIST....
Answer should be in step by step exaplanation
Compulsarly should use algebraic identity
No direct answers
who will give correct answer I will mark definitely as brainlist....​

Answer 1

$1) \: (a {x}^{2} + b {y}^{2} ) \times (a {x}^{2} + b {y}^{2} ) \\ \\ = {(a {x}^{2} + b {y}^{2} )}^{2} \\ \\ = {(a {x}^{2} )}^{2} + 2 \times a {x}^{2} \times b{y}^{2} + {(b {y}^{2}) }^{2} \\ \\ = {a}^{2} {x}^{4} + 2ab {x}^{2} {y}^{2} + {b}^{2} {y}^{4} \\ \\ 2) \:(7d - 9e) \times (7d - 9e) \\ \\ = {(7d - 9e)}^{2} \\ \\ = 49 {d}^{2} - 126de + 81 {e}^{2} \\ \\3) \: (2b - a) \times (2b + c) \\ \\ = {2b}^{2} + ( - a + c)2b - ca \\ \\ = 4 {b}^{2} - 2ab + 2bc - ca$

$</p><p>plzz \: mark \: this \: as \: brainliest \\ \\ like \: it \\ \\ follow \: me$